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Popular Functions >

inflection f(x)=3x^5-30x^4

Solution

inflection points

f (x) = 3 x^{5} - 30 x^{4}

Solution

(6, - 15552)

Solution steps

f^{''} (x) = 60 x^{3} - 360 x^{2}

Find intervals:

Concave Downward

: - \infty < x < 0,

Concave Downward

: 0 < x < 6,

Concave Upward

: 6 < x < \infty

Plug

x = 6

into

3 x^{5} - 30 x^{4} : - 15552

(6, - 15552)

Graph

Popular Examples

range of f(x)=6x-3

distance (8,20),(2,2)

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inverse of f(x)=3x+12

extreme x^2-4x-12

Frequently Asked Questions (FAQ)

What is the inflection f(x)=3x^5-30x^4 ?
The inflection f(x)=3x^5-30x^4 is (6,-15552)